Answer:
675 mm²
Step-by-step explanation:
base = 15 x 15 = 225 mm²
4 sides = 4(15)(15)(0.5) = 450 mm²
450 + 225 = 675 mm²
september 11 a recent study asked u.s. adults to name 10 historic events that occurred in their lifetime that have had the greatest impact on the country. the most frequently chosen answer was the september 11, 2001, terrorist attacks, which was included by 76% of the 2025 randomly selected u.s. adults. construct and interpret a 95% confidence interval for the proportion of all u.s. adults who would include the 9/11 attacks on their list of 10 historic events.
We are 95% confident that the true population proportion is between 71.6% and 80.4%
The 95% confidence interval for the proportion of all U.S. grown people who would include those on their list of 10 historic events can be constructed using the formula:
\(CI = pi ± z*(SE)\)Where:
\(pi\) = sample proportion (76%)
SE = standard error (square root of \(pi(1-pi)/n\))
z = the critical value for a 95% confidence level (1.96)
n = sample size (2025)
Plugging in the values, we get:
\(SE =\sqrt{(0.76(1-0.76)/2025)} = 0.0240\\CI = 0.76 ± (1.96)(0.0240) = (0.716, 0.804)\)
The 95% confidence interval can be interpreted as follows: If we repeated this study many times, 95% of the intervals constructed would contain the true population proportion of all U.S. grown persons who would include on their list of 10 historic events. Based on this sample, we are 95% confident that the true population proportion is between 71.6% and 80.4%.
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Evaluate the following expression.
(-3)0
Answer here
The expression (-3)0 has a value of 0 when evaluated because a number multiplied by 0 gives 0
Evaluating the expression (-3)0From the question, we have the following parameters that can be used in our computation:
(-3)0
The above statement is a product expression that multiplies the values of -3 and 0
Also, there is no need to check if there are like terms in the expression or not
This is because we are multiplying the factors
So, we have
(-3)0 = 0
This means that the value of the expression is 0 i.e a number multiplied by 0 gives 0
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Leo bought jet ski's a couple of years ago. He now wants to sell them. This is an example of Income.
O A. capital gains
OB. earned
OC. hourly
OD. passive
Answer:
D. passive
Step-by-step explanation:
Find to value of a if you knew the perimeter was 250 inches long
Answer:
To find the value of "a" when you know the perimeter of a shape, you need to know the specific shape you're referring to. Please provide more information about the shape in question, such as whether it's a rectangle, triangle, or another geometric figure. Additionally, if you have any specific measurements or relationships between the sides of the shape, please provide them as well.
a bookstore sells 7 books for $99.75 which table represents the relationship between number of books and total price?
Answer:
You did not provide the tables to choose from, but the relationship between number of books and total price is that each book is 14.25. Hope that helps at least.
here a subtraction problem that has been solved incorrectly 21-9=11 what answer I got b 11+9=20
The Answer:
21 - 9 = 12, not 11.
explanation:
It is not much else to say here, so straightforward, the answer lies above.
Therefore,
you are correct. 11 + 9 = 20 - 9 = 11, which is correct for the given equation.
Manuel is paid $155 each day he guides tourists on camping trips in the Grand Canyon. What amount did he
earn last month if he worked 19 days?
Blank 1:
Answer:
$2495
Step-by-step explanation:
19x155=2945
please make this brainliest
Each Friday, the sixth grade students in Mr. Shin's physical education class spend the first five minutes doing crunches. Instead of keeping track of the weekly total number of crunches, Mr. Shin keeps track of how they do compared to the week before, and then records the result as a positive or negative number. Record the number for each of the following:
Ben did 10 more crunches this week than last week. What number would Mr. Shin record?
Gail did 8 less crunches this week than last week. What number would Mr. Shin record?
Nathaniel did the same number of crunches this week as last week. What number would Mr. Shin record?
Answer:
I guess it would go
Ben did:+10
Gail:-8
Nathaniel:0
Step-by-step explanation:
hope this was what you wanted
best of luck
72 paper clips decreased by 63% paper clips
Answer:26
Step-by-step explanation:
got a decimal but you cant have a decimal of a paper clip
Answer:
72 x 63% = 45.36 paper clips
or; 72 x .63 = 45.36 paper clips
either one will work...
Step-by-step explanation:
have a good day
This is the question about graph
3x=5y-2 ; 3x+5y=8
Answer:
Using substitution (substituting 5y - 2 for 3x in 3x + 5y = 8), we have:
5y - 2 + 5y = 8
10y - 2 = 8
10y = 10
y = 1, so x = 1
(1, 1) is the point where these two lines intersect.
A city has a population of 397,000. The population $y$ increases by 3% each year.
a. Write an exponential function that represents the population after t years.
b. What will the population be after 15 years? Round your answer to the nearest thousand.
a. exponential function is\(y = 397,000*(1+0.03)^t\) b. Rounding to the nearest thousand, the population after 15 years will be 605,000
A mathematical function with the following formula is an exponential function:
\(f(x) = a^x\)
where x: input variable and an is a positive constant known as the base. As x increases or decreases, the value of the function either rises or falls exponentially. In other words, the function always increases or decreases at a rate that is proportionate to its current value.
a. The formula: can be used to create an exponential function that depicts the population after t years.
\(y = y 0 * (1 + r)^t\)
where t: number of years, r: yearly growth rate expressed as a decimal, and y 0 is the initial population.
The initial population in this instance is 397,000, and the yearly growth rate is 3%, or 0.03 in decimal form. The exponential function that depicts the population after t years is as follows:
\(y = 397,000 * (1 + 0.03)^t\)
b. We may change the exponential function we discovered in part a to include t = 15 to determine the population after 15 years:
\(y = 397,000 * (1 + 0.03)^(15)y = 605,464\)
After 15 years, the population will be roughly 605,000, to the nearest thousand.
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6x = 52 − 2y 5x + 7y = 70 Question 1 What is the first step when solving the given system by the elimination method?
The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The equations are given below.
6x = 52 - 2y
6x + 2y = 52
3x + y = 26 ...1
5x + 7y = 70
(5/7)x + y = 10 ...2
Subtraction equation 2 from equation 1, then we have
3x - (5/7)x = 26 - 10
(16/7)x = 16
x = 7
Then the value of 'y' is given as,
3(7) + y = 26
21 + y = 26
y = 5
The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).
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9. Find the sum of the first multiples of 5.
Answer:
75
Step-by-step explanation:
Use the arithmetic progression formula: S =n/2(2a + (n-1)d)
a = 5, d = 5, n = 5
S = 5/2((2(5) + (5-1)(5)) = 75
User Identify the change in the parent function that will produce the related function shown as a dashed line move to the right and downward . f(x)=|x|
The transformation of f(x) to g(x) is f(x) is shifted down by 4 units to g(x) and shifted right by 5 units
How to describe the graph of g(x)From the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we can see that
f(x) = |x|
g(x) = |x + 5| - 3
So, we have
vertical difference = 0 - 3 = -3
horizontal difference = 5 - 0 = 5
This means that the transformation of f(x) to g(x) is f(x) is shifted down by 4 units to g(x) and shifted right by 5 units
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Katelyn deposited $2500 in a CD. She will earn 4.25% interest compounded
daily. Find the number of years needed to earn $250 in interest with the CD.
Answer:
So, Katelyn deposited $2500 in a CD, and the interest rate is 4.25% compounded daily. That means her money will grow every day at a rate of 4.25%/365 (since there are 365 days in a year).
To find out how many years it will take Katelyn to earn $250 in interest, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the amount of money in the account after t years
P is the principal amount (the initial deposit)
r is the annual interest rate (as a decimal)
n is the number of times the interest is compounded per year
t is the time in years
In this case, we know:
P = $2500 (the initial deposit)
r= 0.0425 (4.25% as a decimal)
n = 365 (compounded daily)
t is what we're trying to find
We also know that Katelyn wants to earn $250 in interest, so her total balance after t years should be $2500 + $250 = $2750.
Plugging all of this into the formula, we get:
$2750 = $2500(1 + 0.0425/365)^(365t)
Simplifying a bit, we get:
1.01 = (1 + 0.0425/365)^(365t)
Taking the natural log of both sides, we get:
ln(1.01) = ln(1 + 0.0425/365)^(365t)
Using the property of logarithms that ln(a^b) = b*ln(a), we can simplify further:
ln(1.01) = 365t * ln(1 + 0.0425/365)
Finally, we can solve for t:
t = ln(1.01) / (365 * ln(1 + 0.0425/365))
Plugging this into a calculator, we get:
t ≈ 4.69 years
So it will take Katelyn about 4.69 years to earn $250 in interest on her CD.
I hope that helps!
At a meeting for math enthusiasts, two entrance fees are charged. Anyone who knows the code word “algemath” only pays 2 euros. Those who are unlucky and do not know the code word pay three euros more. You know that 7338 people were present and that the cashier received 17487 euros. How many people knew the password?
Number of People who knows the Code are 6401
What is Linear Equation in Two Variable?
A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.
Solution:
Let, Number of People who kows the Code be x
Number of Peoplee who do not know the Code be y
According to the Question:
x + y = 7338 ----------(i)
2x + 5y = 17487 ----------(ii)
Multiplying Equation (i) by 2
2x + 2y = 14676 ---------(iii)
Substracting Equation (iii) from Equation (ii)
3y = 2811
y = 937
This means x = 6401
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Q1 ? Help Robert is 7 ½ years old. How many months old is he?
Answer:
Step-by-step explanation:
If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.
7x12=84
1/2x12=6
6+84=90
What is equal to 4 1/2 dividend by 2 2/3
Answer:
Step-by-step explanation:
9/2 / 8/3
9/2 x 3/8
27/16 = 1 13/16
Answer:
9/2 / 8/3
IS THE POSSIBLE ANSWER TO THIS EQUATION.
What is the differences between solving an equation and solving an inequality?
The equation includes equal to sign and the inequality includes the sign of greater than and equal to sign.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
when we have to solve an equation, it does not has an equal sign and inequalities.
When we have to solve an inequality equations usually are exact answers.
The equation includes equal to sign and the inequality includes the sign of greater than and equal to sign.
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Find the length of the missing side of the right triangle. 19 a 15.2
The length of the missing side of the triangle is 129.96
Right angle triangleRight angle triangle are triangle that has one of its sides as 90 degrees. The sides can be found using Pythagoras theorem. Therefore,
c² = a² + b²
where
c = hypotenuse
a and b are the other legs.
Therefore,
19² - 15.2² = a²
a = 361 - 231.04
a = 129.96
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find the reduced radical 36^3/4 • 36^-1/4 (show explanation please)
Step-by-step explanation:
36^3/4 * 36 ^-1/4 = 36 ^( 3/4 - 1/4 ) = 36 ^1/2 = sqrt (36 ) = 6
A 20 foot ladder is leaning against a 25 foot building. The bottom of the ladder is 9 feet away from the building. How high is the top of the ladder above the ground?
Answer:
17.9 feetStep-by-step explanation:
This is a right triangle
the 20 foot ladder is the hypotenuse
The 9 foot at the bottom is one leg
The height is the remaining leg
Use the pythagorean theorem
a² + b² = c²
a² + 9² = 20²
Subtract 9² from both sides
a² = 20² - 9²
a² = 400 - 81
a² = 319
Take the square root of both sides
a = 17.860571099491752
rounded
17.9 feet
Answer:
A ladder is the hypotenuse of the right triangle.
Missing leg is x.
Use Pythagorean:
x² = 20² - 9²x² = 319x = √319x = 17.86 feet or 18 feet roundedCan someone help me with this please?
Answer:
The triangles are similar.
Explanation:
Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.
A cubic root function has a domain of x≥−3 and a range of y≥−1. What is the range of its inverse?
In general, if the range of a function is y≥−1, its inverse has a domain of y≥−1. So, the range of the inverse of the cubic root function is y≥−1.
How do we know this?The range of a cubic root function becomes the domain of a cube function and vice versa since a cubic root function is an inverse function of a cube function. Therefore, the cube function's range is x3 if the cubic root function's domain is x3.
A function's inverse typically has a domain of y1 if its range is y1. Therefore, y1 is the domain of the inverse of the cubic root function.
Describe a function.
A function is a mathematical relationship between a domain—a set of inputs—and a range—a set of outputs. Each input in the domain is given a distinct output, known as the function value, by a function. An equation or graph can be used to depict the function value.
A function is typically represented symbolically by an equation that describes the relationship between the inputs and outputs and a letter, like f or g, as well as the letter. For instance, the equation of a function that accepts a value of x as input and produces its square is f(x) = x2.
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The expression 6(x − 5) means the
A. sum of 6 and the sum of x and 5
B. product of 6 and sum of x and 5
C. product of 6 and difference of x minus 5
D. sum of 6 and the difference of x minus 5
The diagram shows squares arranged around the edge of a right triangle. What is the area of square B
Step-by-step explanation:
take the right triangle
15^2 = 9^2 + x^2
225 = 81 + x^2
x = 12
area of square b = 144
PLZ IM ON THE CLOCK!!!!! A sports memorabilia store makes $6 profit on each football it sells and $5.50 profit on each baseball it sells. In a typical month, it sells between 35 and 45 footballs and between 40 and 55 baseballs. The store can stock no more than 80 balls total during a single month. What is the maximum profit the store can make from selling footballs and baseballs in a typical month? $457.50 $460.00 $462.50 $572.50
Answer:
460
Step-by-step explanation:
Answer:
460
Step-by-step explanation:
Find the area of the shaded region 10cm and 85 degrees. Help please!
The area of the shaded region is equal to 425π / 18 square centimeters.
How to determine the area of a circular sectionThe picture indicates us that we must find the area of the shaded region, consisting in a circular section with a measure of central angle of 85° and a radius of 10 centimeters. The area (A), in square centimeters, can be found by using the following formula:
A = (α / 360) · π · r²
Where:
α - Measure of the central angle, in degrees.r - Radius of the circular section, in centimeters.If we know that α = 85° and r = 10 cm, then the area of the shaded region is:
A = (85 / 360) · π · 10²
A = 425π / 18 cm²
The area of the shaded region is equal to 425π / 18 square centimeters.
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Please help me I beg you I really need help.
Answer:
what's that ,we are all ears
Please someone help me I rlly don’t get this I’ll give you like 40 points
Answer:
Step-by-step explanation:
H(n)=91x(-1/7) n-1
do not know
Hope it helps the answer is the 2nd one have a great day